Cody Kessler
Kessler’s NFL resume is not overly impressive, but he has proven to be a decent enough backup when his number is called. That, along with his previous team, could be enough to garner consideration from the Jets.
Kessler spent 2019 backing up Tom Brady in New England. He did not appear in a game for the Patriots but has knowledge of their offensive scheme. Bill Belichick often picks up former Jets players in free agency. Could Joe Douglas take a page out of the playbook of a division rival?
If anything, Kessler is better than David Fales and has enough experience to be considered somewhat reliable given his track record. Access to the minds of the Patriots would simply be an added bonus.